Online GCD Calculator is useful to find the GCD of 948, 558, 360, 234 quickly. Get the easiest ways to solve the greatest common divisor of 948, 558, 360, 234 i.e 6 in different methods as follows.
Given Input numbers are 948, 558, 360, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (948, 558, 360, 234) = 6.
Given numbers are 948, 558, 360, 234
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 948, 558, 360, 234 is 6.
Given numbers are 948, 558, 360, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 558) = 88164
GCD(948, 558) = ( 948 x 558 ) / 88164
= 948 / 558
= 948
Step2:
LCM(6, 360) = 360
GCD(6, 360) = ( 6 x 360 ) / 360
= 6 / 360
= 6
Step3:
LCM(6, 234) = 234
GCD(6, 234) = ( 6 x 234 ) / 234
= 6 / 234
= 6
So, Greatest Common Divisor of 948, 558, 360, 234 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 558, 360, 234
The greatest common divisor of numbers 948, 558, 360, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 558, 360, 234 is 6.
1. What is the GCD of 948, 558, 360, 234?
GCD of given numbers 948, 558, 360, 234 is 6
2. How to calculate the greatest common divisor of 948, 558, 360, 234?
We can find the highest common divisor of 948, 558, 360, 234 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 948, 558, 360, 234 i.e 6.
3. How can I use the GCD of 948, 558, 360, 234Calculator?
Out the numbers 948, 558, 360, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.